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Finding the Fourth Proportional to 1,036.64, 1,430.16 and 687.20

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Solution

The fourth proportional to 1,036.64, 1,430.16 and 687.20 is: 948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.64 : 1,430.16 = 687.20 : x
  2. Step 2: Convert to fraction form
    1,036.64/1,430.16 = 687.20/x
  3. Step 3: Cross multiply
    1,036.64x = 1,430.16 × 687.20
  4. Step 4: Simplify right side
    1,036.64x = 982,805.95
  5. Step 5: Solve for x
    x = 982,805.95/1,036.64
  6. Step 6: Final answer
    x = 948.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.